\(=\dfrac{x+6\sqrt{x}+5+x-5\sqrt{x}-x+9\sqrt{x}+20}{\left(\sqrt{x}-5\right)\left(\sqrt{x}+5\right)}=\dfrac{x+10\sqrt{x}+25}{\left(\sqrt{x}-5\right)\left(\sqrt{x}+5\right)}\\ =\dfrac{\left(\sqrt{x}+5\right)^2}{\left(\sqrt{x}-5\right)\left(\sqrt{x}+5\right)}=\dfrac{\sqrt{x}+5}{\sqrt{x}-5}\)